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References
Bombieri, E., E. De Giorgi & M. Miranda, Una maggiorazione a-priori relitiva alle ipersuperfici minimali non-parametriche. Arch. Rational Mech. Anal. 32 (1969).
Giusti, E, Boundary behaviour of non-parametric minimal surfaces. Indiana University Math. Journal 22 (1972).
Ladyzhenskaya, O. A. & N. N. Ural'tseva, Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations Part II, pp. 687–703. Comm. Pure and Appl. Math. 23 (1970).
Michael, J. H. & L. M. Simon, Sobolev and mean-value inequalities on generalised submanifolds of ℝn. Comm. Pure and Appl. Math. 26 (1973).
Moser, J., A new proof of DeGiorgi's theorem concerning the regularity problem for elliptic differential equations. Comm. Pure and Appl. Math. 13 (1960).
Trudinger, N. S., A new proof of the interior gradient bound for the minimal surface equation in n-dimensions. Proc. Nat. Acad. Sci. USA 69 (1972).
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Communicated by J. C. C. Nitsche
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Simon, L. Global estimates of holder continuity for a class of divergence-form elliptic equations. Arch. Rational Mech. Anal. 56, 253–272 (1974). https://doi.org/10.1007/BF00280971
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DOI: https://doi.org/10.1007/BF00280971